Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gi |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7970074092288 = 28 · 37 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,73402] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:468:1] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
8.4469366168206 |
L(r)(E,1)/r! |
Ω |
0.66343467673894 |
Real period |
R |
3.1830325246421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19404r2 25872cp2 1584r2 |
Quadratic twists by: -4 -3 -7 |